822606048 has 144 divisors (see below), whose sum is σ = 2587633776. Its totient is φ = 245790720.

The previous prime is 822605999. The next prime is 822606067. The reversal of 822606048 is 840606228.

822606048 is a `hidden beast` number, since 8 + 2 + 2 + 606 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229486 + ... + 233042.

It is an arithmetic number, because the mean of its divisors is an integer number (17969679).

Almost surely, 2^822606048 is an apocalyptic number.

822606048 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822606048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293816888).

822606048 is an abundant number, since it is smaller than the sum of its proper divisors (1765027728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

822606048 is a wasteful number, since it uses less digits than its factorization.

822606048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 822606048 is about 28681.1096019662. The cubic root of 822606048 is about 936.9806727990.

The spelling of 822606048 in words is "eight hundred twenty-two million, six hundred six thousand, forty-eight".